Hosing Instability Suppression in Self-Modulated Plasma Wakefields

TL;DR

This paper demonstrates that hosing instability can be suppressed in self-modulated plasma wakefields with linear plasma density perturbations, ensuring stable propagation of particle bunches beyond self-modulation saturation.

Contribution

The authors derive conditions and scalings for suppressing hosing instability in self-modulated plasma wakefields, supported by analytical and simulation results.

Findings

Hosing instability can be suppressed after self-modulation saturation.

Derived scalings ensure stable propagation of particle bunches.

Numerical simulations confirm analytical predictions.

Abstract

We show that the hosing instability can be suppressed after the saturation of the self-modulation instability of a long particle bunch if the plasma density perturbation is linear. We derive scalings for maximum bunch tilts and seeds for the self-modulation instability to ensure stable propagation beyond saturation of self-modulation. Numerical solutions of the reduced hosing equations and three-dimensional particle-in-cell simulations confirm our analytical findings. Our results may also apply when a train of particle bunches or laser pulses excites a linear wake.